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3 years ago

What is the fifth term of the sequence whose first term is 10 and whose common ratio is 1/2?

Mathematics

2 answers:

Cloud [144]3 years ago

8 0

Answer:

Step-by-step explanation:

Common ratio of half means that to get each successive terms, you have to multiply the preceding term by half.

Since first term is 10

2nd term is $10*\frac{1}{2}=5$

3rd term is $5*\frac{1}{2}=\frac{5}{2}$

4th term is $\frac{5}{2}*\frac{1}{2}=\frac{5}{4}$

5th term is $\frac{5}{4}*\frac{1}{2}=\frac{5}{8}$

Answer choice D is right.

Kipish [7]3 years ago

3 0

The fifth term of the sequence whose first term is 10 and whose common ratio is ½ is 5/8. The correct answer between all the choices given is the last choice or letter D. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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What is a radius of a circle given by the equation x²-2x+8y-47=0

Zolol [24]

First, we are going to rewrite it as a parabola equation.
Rewrite.
$8y=-x^2+2x+47$
Divide by 8.
$y=-\frac{x^2}{8}+\frac{x}{4}+\frac{47}{8}$
Factor out coefficient.
$y=-\frac{1}{8}\left(x^2-2x\right)+\frac{47}{8}$
Then, we are going to convert x into square form.
$y=-\frac{1}{8}\left(x^2-2x+1\right)+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Convert the whole expression into square form.
$y=-\frac{1}{8}\left(x-1\right)^2+\frac{1}{8}\cdot \:1+\frac{47}{8}$
Simplify.
$y=-\frac{1}{8}\left(x-1\right)^2+6$
Subtract 6 from both sides.
$y-6=-\frac{1}{8}\left(x-1\right)^2$
Divide by coefficient.
$-8\left(y-6\right)=\left(x-1\right)^2$
Rewrite in standard form.
$4\left(-2\right)\left(y-6\right)=\left(x-1\right)^2$

The radius of the circle will be -2. Also, no matter what the sign says, the radius has to always be positive.
Have a nice day! :)

7 0

3 years ago

Read 2 more answers

A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is

Alchen [17]

M = -2 and b = 3
so equation
y = -2x + 3

hope it helps

4 0

3 years ago

Jack can run a mile in 9, 1/3 minutes. How long will it take for him to run 3, 1/2 miles?

BARSIC [14]

If you turn 9 1/3 in to a decimal and 3 1/2 in a decimal also

9 1/3 = 9.3 and 3 1/2 =3.5
9.3+3.5 =12.8
12.8=12 4/5

8 0

3 years ago

Can anyone help me with this, I’ll give out brainliest. NO LINKS.

Sliva [168]

Answer:

89.132 inch

Step-by-step explanation:

“this shape is made up of one half-circle attached to a square with side lengths 16 inches. You can use 3.14 as an approximation.”

so, the square has a perimeter of 16 inch, four sides that will be 64 inch

then the half circle rule of perimeter of half circle: πr + 2r

=> perimeter of semicircle = π * 8 +2 * 8 = 41.132 inch

<em>without the bottom line of half circle= 41.132 -16 = 25.133 inch</em>

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So total 25.133 + 64 =89.132 inch

have a great day and nc question

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2 years ago

The expression which correctly shows the area of the rectangle is

Lapatulllka [165]

A = W*L or Area = Width x Length

3 0

3 years ago